15852768768 has 320 divisors, whose sum is σ = 49708961280. Its totient is φ = 4977967104.

The previous prime is 15852768749. The next prime is 15852768781. The reversal of 15852768768 is 86786725851.

It is a super-2 number, since 2×15852768768² (a number of 21 digits) contains 22 as substring.

Its product of digits (45158400) is a multiple of the sum of its prime divisors (784).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23210155 + ... + 23210837.

It is an arithmetic number, because the mean of its divisors is an integer number (155340504).

Almost surely, 2^15852768768 is an apocalyptic number.

15852768768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15852768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24854480640).

15852768768 is an abundant number, since it is smaller than the sum of its proper divisors (33856192512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15852768768 is an equidigital number, since it uses as much as digits as its factorization.

15852768768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 784 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 15852768768 in words is "fifteen billion, eight hundred fifty-two million, seven hundred sixty-eight thousand, seven hundred sixty-eight".